Free Printable Chapter 1 Review Geo

1.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

2.

Determine the length of the missing side.

a)

7

b)

8

c)

17

d)

23

3.

Which equation can be used to solve for "x"?

a)

15² – x² = 21²

b)

x² – 15² = 21²

c)

15² + 21² = x²

d)

21² – 15² = x²

4.

This distance formula was derived from the ______________.

a)

Vertical Angles Theorem

b)

Pythagorean Theorem

c)

Supplements Theorem

d)

Perpendicular Bisector Theorem

5.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

6.

How is AB written in the distance formula?

a)

$d\ =\ \sqrt{\left(5-3\right)^2\ +\ \left(0--2\right)^2}$

b)

$d\ =\ \sqrt{\left(2-5\right)^2\ +\ \left(3\ -0\right)^2}$

c)

$d\ =\ \sqrt{\left(5-3\right)^2\ -\ \left(0--2\right)^2}$

d)

$d\ =\ \sqrt{\left(4-3\right)^2\ -\ \left(2-4\right)^2}$

7.

Find the distance between J and K.

a)

8.2

b)

7.7

c)

9

d)

10.2

8.

Find the distance between ( 1, 3) and (5, 6)

a)

3

b)

4

c)

5

d)

6

9.

Find the distance between (12, -5) and (2, -5).Round to the nearest tenth.

a)

14.1

b)

10

c)

8

d)

14

10.

Which of the following is the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂)?

a)

b)

c)

d)

11.

Find the midpoint:

a)

\left(3,-1\right)

b)

$\left(-1,3\right)$

c)

$\left(3,4\right)$

d)

$\left(4,3\right)$

12.

What is the midpoint between (-4,4) and (-2,2)?

a)

(3,2)

b)

(-3,3)

c)

(4,5)

d)

(6,7)

13.

Find the missing endpoint given the midpoint (3,4) and the other endpoint (-1,6)

a)

(1,5)

b)

(2,10)

c)

(7,2)

d)

(1,2)

14.

Find the distance between (2,3) & (4,1)

a)

3

b)

5.66

c)

2.83

d)

2.79

15.

What is the distance between AB

a)

0

b)

8

c)

9

d)

7

16.

What is the distance between the two points?

a)

6.3

b)

6.5

c)

6.7

d)

16

17.

Find the distance between J and K.

a)

√68

b)

√8

c)

9

d)

√53

18.

What is the midpoint between (0, -4)
and (-8, 14)

a)

(4, 5)

b)

(-4, 5)

c)

(-4, -5)

d)

(4, -5)

19.

Find the endpoint of the segment with the endpoint of (-4, 5) and midpoint of (7, -9)

a)

(18, -23)

b)

(13, 18)

c)

(11,4)

d)

(1.5, -2)

20.

Given two points (x₁, y₁), (x₂, y₂) the distance between them is:

a)

b)

c)

d)

21.

Which of the following is the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂)?

a)

b)

c)

d)

22.

Find the distance.

a)

7.1

b)

7.8

c)

8.7

d)

8.9

23.

What is the midpoint between (-4,4) and (-2,2)?

a)

(3,2)

b)

(-3,3)

c)

(4,5)

d)

(6,7)

24.

Find the distance between the points (4, 3) and (0, 6).

a)

3

b)

4

c)

5

d)

7

25.

What is the perimeter of triangle ABC?

a)

28.2

b)

18.2

c)

32.6

d)

17.6

26.

What is the midpoint between (3, -1) and (8, -6)

a)

(11, -7)

b)

(-5.5, -3.5)

c)

(5.5, -3.5)

d)

(2, -2)

27.

A diameter of a circle has endpoints (-2, -5) and (2, 1). Find the coordinates of the center of the circle.

a)

(0, -2)

b)

(6, 7)

c)

(-6, -11)

d)

(1, -1)

28.

Angle JHG measures 161.

a)

m∠GHK=80.5,

m∠KHJ=161

b)

m∠GHK=161,

m∠KHJ=80.5

c)

m∠GHK=80.5,

m∠KHJ=80.5

d)

m∠GHK=161,

m∠KHJ=161

29.

Find the value of ∠A.

a)

25 degrees

b)

30 degrees

c)

35 degrees

d)

90 degrees

30.

Find the value of ∠A.

a)

39 degrees

b)

49 degrees

c)

51 degrees

d)

59 degrees

31.

A single angle that measures between 90 and 180 degrees.

a)

Obtuse Angle

b)

Acute Angle

c)

Right Angle

d)

Linear Pair

32.

A single angle that measures between 0 and 90 degrees.

a)

Obtuse Angle

b)

Acute Angle

c)

Right Angle

d)

Adjacent Angles

33.

Find x.

a)

$-3$

b)

$-6$

c)

$-8$

d)

$-10$

34.

a)

$4$

b)

$-3$

c)

$-5$

d)

$9$

35.

$\overrightarrow{EJ}\$ bisects $\angle DEF$ , $m\angle DEJ=5x+7$ , $m\angle JEF=8x-8$ .
Find x.

a)

5

b)

2

c)

6

d)

13

36.

$\overrightarrow{BD}$ bisects $\angle ABC$ , $m\angle ABD=3x+5$ and $m\angle ABC=2x+30$ . Find $m\angle DBC$ .

a)

$15\degree$

b)

$35\degree$

c)

$5\degree$

d)

$20\degree$

37.

Find MK.

a)

6

b)

4

c)

14

d)

8

38.

B is the midpoint of AC. Find AB.

a)

2

b)

16

c)

8

d)

4

39.

A single angle that measures exactly 90 degrees.

a)

Obtuse Angle

b)

Acute Angle

c)

Right Angle

d)

Supplementary Angles

40.

What does the word BISECT mean?

a)

To cut something into more than five pieces.

b)

It is a plane with two sets of wings.

c)

A shape that has three sides.

d)

To cut something into two congruent pieces or in half.

41.

Which postulate or definition states that
m∠ADB + m∠BDC = m∠ADC?

a)

Segment Addition Postulate

b)

Angle Addition Postulate

c)

Definition of Angle Bisector

d)

Definition of Congruent Angles

42.

Find the missing angle.

a)

43

b)

47

c)

57

d)

67

43.

Part of a line. Has two endpoints and includes all of the points in between.

a)

Point

b)

Angle

c)

Line

d)

Line Segment

44.

Part of a line. Has two endpoints and includes all of the points in between.

a)

Point

b)

Angle

c)

Line

d)

Line Segment

45.

Name the Image

a)

Angle

b)

Line

c)

Line Segment

d)

Ray

46.

Two lines intersect at a ....

a)

angle

b)

point

c)

line

d)

intersection

47.

Two planes intersect at a...

a)

line

b)

point

c)

plane

d)

letter

48.

A line that contains point M.

a)

Line q

b)

Line p

c)

Line r

d)

Line NH

49.

Are points D and E collinear or coplanar?

a)

Collinear

b)

Coplanar

c)

Both

d)

Neither

50.

Give another name for line k.

a)

Line BC

b)

Line BCE

c)

Line ED

d)

Line k is the only name, there isn't another name.

51.

Name two points collinear to Point K

a)

H & M

b)

J & L

c)

N & J

d)

M & L

52.

Points that lie on the same line are _________.

a)

coplanar

b)

collinear

c)

parallel

d)

perpendicular

53.

a)

plane FBC

b)

plane BAD

c)

plane FEC

d)

plane FKG

54.

Points that lie on the same plane are ________.

a)

collinear

b)

coplanar

c)

parallel

d)

perpendicular

55.

An example of 2 non-collinear points.

a)

D, E

b)

C, B

c)

M, E

d)

F, B

56.

An exact location in space with no length or width.

a)

Ray

b)

Point

c)

Line

d)

Line segment

57.

A line is named by...

a)

Any 2 points on the line, or a lowercase script letter.

b)

Any 3 points on the line.

c)

Any 1 point on the line.

d)

Any 3 points on the line, or a uppercase script letter.

58.

Name the Image.

a)

Ray

b)

Point

c)

Line

d)

Line segment

59.

Name 3 coplaner points.

a)

ZRW

b)

VZX

c)

VWX

d)

WYZ

60.

When naming a plane, we should use ________

a)

2 points

b)

a lower case cursive letter

c)

3 points

d)

3 noncollinear points

61.

How would you describe points I, L, C?

a)

collinear

b)

non-coplanar

c)

symmetric

d)

coplanar

62.

a)

Ray

b)

Segment

c)

Line

d)

Point

63.

Example 2: Find x if the length of PR is 45 units in length. [Refer to the figure]

a)

3

b)

44

c)

5

d)

6

64.

Suppose AC = 48, find the value of x. Then, find the length of AB.

a)

13

b)

16

c)

12

d)

15

65.

Find the length indicated.

(a)

66.

Find measurement for QT.

a)

10

b)

6

c)

-10

d)

2

67.

If M, N, O, and P are four points on a segment MP, what will be the correct expression to find the value of OP?

a)

OP = MP + (MN + NO)

b)

OP = MP + MN + NO

c)

OP = MP - (MN + NO)

d)

OP = MP - MN + NO

68.

Write an equation that correctly models the lengths shown.

a)

2x + 20 + x + 21 = 9

b)

2x + 20 + 9 = x + 21

c)

9 + x + 21 = 2x + 20

d)

2x + 20 - 9 = x + 21

69.

Write an equation that could be used to relate the lengths shown.

a)

4 + 3x + 2 = 7x - 2

b)

7x - 2 + 4 = 3x + 2

c)

7x - 2 + 3x + 2 = 4

70.

If DF=9x-39, find EF.

a)

16

b)

58

c)

116

d)

23

71.

a)

Segment

b)

Arrow

c)

Line

d)

Ray

72.

Find measurement for QS.

a)

7

b)

4

c)

3

d)

1

73.

Given the diagram, which is correct?

a)

BC+CD=BD

b)

BD+BC=CD

c)

CD+BC=BD

d)

BC+BD=CD

74.

a)

Ray

b)

Plane

c)

Line

d)

Segment

75.

If RT=36, find the value of x.

a)

3

b)

4

c)

5

d)

6

76.

If HJ=7x-27, find the value of x.

a)

4

b)

5

c)

6

d)

7

Chapter 1 Review Geo

Total questions: 76

Worksheet time: 7hrs 27mins

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